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Finding the Third Proportional to 385,924 and 596,382

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Solution

The third proportional to 385,924 and 596,382 is: 921,610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,924 : 596,382 = 596,382 : x
  2. Step 2: Convert to fraction form
    385,924/596,382 = 596,382/x
  3. Step 3: Cross multiply
    385,924x = 596,382 × 596,382
  4. Step 4: Simplify right side
    385,924x = 355,671,489,924
  5. Step 5: Solve for x
    x = 355,671,489,924/385,924
  6. Step 6: Final answer
    x = 921,610.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.